Two inequalities for the Perron root

DOI10.1016/0024-3795(87)90220-5zbMath0618.15010OpenAlexW2005364212WikidataQ126622075 ScholiaQ126622075MaRDI QIDQ1089066

Ravindra B. Bapat

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90220-5

zbMATH Keywords

eigenvectorspectral radiusPerron-Frobenius theoryirreducible nonnegative matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (5)

Inequalities for the Perron root related to Levinger's theorem ⋮ Minimization of norms and the spectral radius of a sum of nonnegative matrices under diagonal equivalence ⋮ Nonconcavity of the spectral radius in Levinger's theorem ⋮ Nonnegative matrices, zero patterns, and spectral inequalities ⋮ Bounds for the critical speed of climate-driven moving-habitat models

Cites Work

• Perron roots of a convex combination of a cone preserving map and its adjoint
• Applications of an inequality in information theory to matrices
• Some inequalities for the spectral radius of non-negative matrices and applications
• Linear Statistical Inference and its Applications

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